Active systems are driven out of equilibrium by exchanging energy and momentum with their
environment. This endows them with anomalous mechanical properties that are reviewed in …

We study how inertia affects the behavior of self-propelled particles moving through a
viscous solvent by employing the underdamped version of the active Ornstein–Uhlenbeck …

The stationary-state distribution function of confined active Brownian particles (ABPs) is
analyzed by computer simulations and analytical calculations. We consider a radial …

As a result of the competition between self-propulsion and excluded volume interactions,
purely repulsive self-propelled spherical particles undergo a motility-induced phase …

Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in
terms of Markov jump processes, we identify the scaling conditions that ensure the …

We relate the breakdown of equations of states (EOS) for the mechanical pressure of
generic dry active systems to the lack of momentum conservation in such systems. We show …

In this review, we discuss recent developments in the theoretical models of self-propelled
particles. We first summarize simple models, including active Brownian particles (ABPs) …

The stress of a fluid on a confining wall is given by the mechanical wall forces, independent
of the nature of the fluid being passive or active. At thermal equilibrium, an equation of state …

Meso-scale turbulence was originally observed experimentally in various suspensions of
swimming bacteria, as well as in the collective motion of active colloids. The corresponding …

We study a three-dimensional system of self-propelled Brownian particles interacting via the
Lennard-Jones potential. Using Brownian dynamics simulations in an elongated simulation …